Properties of the Number 39807

Thirty-Nine Thousand Eight Hundred Seven

Basics

Value: 39806 → 39807 → 39808

Parity: odd

Prime: No

Previous Prime: 39799

Next Prime: 39821

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 4423

Divisors: 1, 3, 9, 4423, 13269, 39807

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101101111111

Octal: 115577

Duodecimal: 1B053

Hexadecimal: 9b7f

Square: 1584597249

Square Root: 199.51691657601367

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k) = Number of (n+1) X (k+1) arrays of permutations of 0..(n+1)*(k+1)-1 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order. A263519

Gaps of 8 in sequence A038593 (lower terms). A38655

Gaps of 10 in sequence A038593 (upper terms). A38660

Number of (n+1)X(7+1) arrays of permutations of 0..n·8+7 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order. A263518

Number of (2+1) X (n+1) arrays of permutations of 0..n·3+2 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order. A263520

Number of SiC polytypes that repeat after 2n layers. A11959

Multiplicity of highest weight (or singular) vectors associated with character chi₁₈₂ of Monster module. A34570

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, -1), (1, 0, 0)}. A148077

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (0, 1, -1), (0, 1, 1), (1, 0, -1)}. A148694

Matrix 5th power of partition triangle A008284. A39807